Acceleration Definition and 1000 Threads

Homework Statement A missile is launched from the surface of a planet with the speed v0 at t=0. According to the theory of universal gravitation, the speed v of the missile after launch is given by v2 = 2gr0(r0 / r -1) + v02 where g is the gravitational...

I understand that gravitational acceleration is independent of mass. However, I've seen a common mathematical description of this that I can't help but find circular. I suspect that there's an error in my thinking that I'm hoping someone can point out for me. It goes like this; ##F=mg## but we...

Hi, I've been asked to solve below as part of an assignment. Below is pretty much what I've submitted but it has been concluded to be incorrect. I am unsure as to why hence the question. Is it due to the fact that I have not taken the mass or forces into consideration? I have only taken these...

is the velocity at t=0 in acceleration vs time graph must be 0 .please answer my question

Problem: A pendulum that has a period of 3.00000s and that is located where the accleration due to gravity is 9.79 m/s^2 is moved to a location where the acceleration due to gravity is 9.82 m/s^2. What is its new period, in s? Equations Equation for Harmonic motion: x = A sin (2pi * f * t)...

Hi, I've built a coilgun using a solenoid, but my projectile stops at the half of the road, but this way i can't measure neither the acceleration nor the speed. what could be wrong ? how to push it further ? I also have a question about the efficient methods to measure the speed of the...

Homework Statement Calculate the deceleration of a snowboarder going up a 5.0° slope, assuming the coefficient of friction for waxed wood on wet snow ( = 0.1). Homework Equations F = ma W = mg Fs = (Fn) Fk = k (Fn) The Attempt at a Solution Answer key says it's 1.83 m/s2. I fiddled...

I've been thinking about centripetal force and its effects on motion in uniform circular motion. I've actually found it difficult to accept that velocity magnitude can ever be maintained constant. Here is why: if this is our velocity vector, v, at the top of the circle: → Then the centripetal...

Homework Statement [/B] A proton is accelerated from rest at the positive plate of two charged parallel plates with a potential difference of 2000 v. After leaving the plates through a small hole in the negative plate, it enters a uniform magnetic field of 0.50 T in a direction perpendicular to...

Hi, How can I relate the beam energy of an electron beam produced by an electron gun to the accelerating potential? I realize that accelerating potential, initial energy (before acceleation), and losses by synchrotron radiation, etc, will play a part. I searched online and can't find much. Thanks

Homework Statement Your airplane is caught in a brief, violent downdraft. To your amazement, pretzels rise vertically off your seatback tray, and you estimate their upward acceleration relative to the plane at ## 2 \hspace{0.1cm} m/s^2##. What's the plane's downward acceleration? Homework...

Homework Statement [/B] Figure 5-55 gives, as a function of time t, the force component Fx that acts on a 3.00 kg ice block that can move only along the x axis. At t = 0, the block is moving in the positive direction of the axis, with a speed of 3.0 m/s.What are its (a) speed and (b) direction...

Hi, I'm currently developing an application. I'm practically done, but I have one big issue (for me). So I have 3-axis acceleration from my android device. Now I want to have the general acceleration at time t, because after that i want to calculate velocity. So, what I know: to get velocity...

Homework Statement Starting from rest an airplane lifts off the ground after 40s and 1.8km. What is its speed at takeoff and its average acceleration during the takeoff run? Homework Equations V= distance/time Acceleration= (Vf-Vi)/time The Attempt at a Solution The airplane travels 1.8km in...

I am aware that an observer in free fall in a gravitational well will measure the local speed of light as c, but what about someone outside the well. Imagine this, Me and my friend are near Earth, and he starts freefalling to the surface, while i stay in space. If he then fires a laser beam at...

Homework Statement Calculate the acceleration associated with the Earth’s rotation about its axis (assume an equatorial point). Homework Equations About center of mass motion Γ=Iα The Attempt at a Solution Since the external forces acting on the Earth are gravitational forces and hence...

Homework Statement Two vehicles, A and B, are approaching each other. Vehicle A has a constant velocity of ##v_A##. Vehicle B has a constant acceleration ##a## with an initial velocity of ##v_B##. The starting distance at ##t=0## between them is ##D##. Is there a way to solve at what time...

I'm trying to calculate the displacement d of a plane as it accelerates towards lift-off velocity. The acceleration is given by the function a = a0 - kv2 where a0 is the constant acceleration from the plane's engine and the term -kv2 is caused by air resistance. I can't seem to find a way to...

Homework Statement A cat rides a merry-go-round turning with uniform circular motion. At time t1 = 2.00 s, the cat’s velocity is V1 = (3.00 m/s)i + (4.00 m/s)j , measured on a horizontal xy coordinate system. At t2 = 5.00 s, the cat’s velocity is V2 = (3.00 m/s)i + (4.00 m/s)j. What are (a) the...

How their can be instantaneous acceleration, its impossible to have change in velocity at a particular position(instant), we can have velcoity or speed at a particular point but how can we have change in velocity at a particular instant?

Hello everyone. Below are two problems I have been thinking about lately. Let’s consider two cases: we have a spaceship surronded by an utter void - nothing outside which the spaceship’s pilot could refer to. The pilot (in his robotic body, allowing him to withstand enormous G-forces) turns on...

a train accelerates uniformly from rest to a speed v m/s with uniform acceleration a m/s^2 it then decelerates uniformly to rest with uniform retardation 3a m/s^2. the total distance traveled is s metres. if the average speed for the whole journey is square root (s/2) find the value of a. does...

Hi there guys, I'm struggling! I've been looking at the International Earth Rotation Services (IERS) "standards" for motion of a satellite in GR. the expression is far from trivial and I'm battling to determine where to even start with this bad boy. The expression is given by \Delta...

Homework Statement A uniform circular disc of mass 2m and radius R placed freely on a horizontal smooth surface as shown in the figure. A particle of mass m is connected to the circumference of the disc with a mass less string. Now an impulse J is applied on the particle in the directions...

I am not familiar with concepts of accelaration field, velocity field, pressure field. I have come up with them in the topic of fluid mechnanics called fluild kinematics. My mathematical background is poor. I would like to learn some information about this concepts. Surely they are mathematical...

Homework Statement Given: x=9sin2t +16cos2t+100 The problem asks me for the maximum acceleration and the maximum velocity. Homework Equations dx/dt=v dv/dt=a The Attempt at a Solution The problem asks me for the maximum acceleration and the maximum velocity. To find the maximum velocity, i...

<Moved from a technical forum and therefore no template.> A block is pushed up a 30 incline by an applied force as shown. If F = 50 N and m = 4.41 kg and the coefficient of kinetic friction is 0.4. What is the magnitude of the resulting acceleration on the block? This is what I did but it's...

Is there a value for the acceleration of light? I tried to use a = v2-v02/2(x-x0) but then I just knew that light has no initial velocity so it can't be 0.

Homework Statement A box is sliding with constant acceleration a to the right. Inside the box there is a quarter of a circle upon which a frictionless ring can slide. Find the angle theta in terms of the other given variables. Picture in solution Homework Equations F=ma, etc. basic stuff...

Hi all, Background: I'm working on a project where I am dropping an arduino with an accelerometer from ~100 ft in the air to measure it's acceleration during free fall and at impact. I need to compare my collected data with predicted models. I have the model for free fall (just 9.8m/s^2)...

I use accelerometer for find an acceleration vs time graph from drop test. how can i find energy loss from acceleration vs time graph thank you

hi every one. ive been digging around on the idea of volt edge and have come across the idea that potential difference is the difference in electrical potential. this is the energy required to move a particle between two reference points without acceleration? i apologies at my lack of knowledge...

Hi, I'm just beginning to learn physics on my own. It seems that instantaneous velocity and acceleration are the same thing. Is it reasonable for me to be confused about the two? If acceleration = final velocity - initial velocity / change in time ... then how this any different from...

I am wondering, when solving rigid body exercises, how can I express the relationship between linear and angular acceleration for a general case? E.g. what would be the linear acceleration in function of the angular one of a 1m rod that is rotating through a fixed point 0.6 m away from its mass...

Homework Statement "Represent (linear) acceleration of center of mass of link OA in terms of variables shown." OmegaOA is given to be some constant value, I have assigned it 'omegaOA'. Homework Equations Already derived equations to previous parts of the problem, fairly certain these are...

Homework Statement This isn't actually a coursework problem, but I can't solve it and I'd definitely be interested in the answer! The acceleration due to gravity at the surface of a uniform, spherical asteroid is ##g_0##. Half of the asteroid is destroyed in a collision, leaving only a...

I have a model of two slender rods (call them OA and AB) connected with a pin at A, anchored at O with a pin, and attached to horizontal slider at B. I am supposed to show graphs of different variables in Matlab as the angle theta changes. One of these steps is to show the acceleration of the...

Homework Statement The acceleration amplitude of a damped harmonic oscillator is given by $$A_{acc}(\omega) = \frac{QF_o}{m} \frac{\omega}{\omega _o} \sqrt{\it{R}(\omega)}$$ Show that as ##\lim_{\omega\to\infty}, A_{acc}(\omega) = \frac{F_o}{m}## Homework Equations $$\it{R}(\omega) =...

Homework Statement A man is pulling himself up the 15 degree incline by the method shown. If the combined mass of the man and the cart is 100kg, determine the acceleration of the cart if the man excerpts 250 N on the rope. There is also a .2 coefficient for the kinetic friction between the...

Homework Statement Sir Lost-a-Lot dons his armor and sets out from the castle on his trusty steed in his quest to improve communication between damsels and dragons (Fig. P12.20). Unfortunately his squire lowered the draw bridge too far and finally stopped it 20.0° below the horizontal...

Homework Statement Homework Equations ∑Mb = m*a*d The Attempt at a Solution Using the formula below i get: m*g*cos(0)*(0.07/2)-m*g*sin(0)*(195/2)=m*a*h And I get 3.52 m/s^2 Is it correct?

There is a problem in my Physics textbook which says: Homework Statement "A car runs counter-clockwise in a circular lane of 1 km of diameter, going through the south extreme at 60 km/h on the instant t = 0. From that point onwards, the driver accelerates the car uniformely, reaching 240 km/h...

Homework Statement A 1.5 kg ball is tied to a string that is .75 m long and whirled in a verticle circle. A) Find the tension in the string at the top of the circle B) Find the tension in the string at the bottom of the circle Homework Equations Fc=mac ac= v2/r The Attempt at a Solution A)...

Hi I'm currently on the data analysis section of my MSc and I'm after some guidance if possible please. Basically I've managed to figure out many variables from force plate data including displacement/net force/velocity/power etc however I'm trying to do the same with data collected from a...

Homework Statement A string is wrapped around a uniform solid cylinder of radius r, as shown in (Figure 1) . The cylinder can rotate freely about its axis. The loose end of the string is attached to a block. The block and cylinder each have mass m. Find the magnitude α of the angular...

Homework Statement All numerical constants are in the appropriate units, so that R (t) in units of meters, and a = 3.1 sec-1. What is acceleration size (in meters per second ^ 2) t = 1 / 1.1 sec? Note: When calculating sin (at), make sure the computer is in radian mode. Homework Equations...

As far as I understand it, the Lorentz factor ##\gamma(\mathbf{v})## is constant when one transforms between two inertial reference frames, since the relative velocity ##\mathbf{v}## between them is constant. However, I'm slightly confused when one considers four acceleration. What is the...

Homework Statement what is the angular acceleration of the arm when theta equals 45 degrees. v=2 m/s picture is attached Homework Equations law of sites law of cosinesThe Attempt at a Solution [/B] so I used the law of sines to resolve side r as being 579.555 mm now I now I need to take time...

Hi everybody Does anyone familiar with this equation? Acceleration resistance, = {(load MOI/mech. efficiency) + (motor MOI) x rpm^2} / {3.65 x 10^5 x acceleration time} = {(kgm^2/ƞ) + (kgm^2) x rpm^2} / {3.65 x 10^5 x second} = final value unit is in kilowatt (kW) It used to calculate the...

Homework Statement A new Tesla is designed that can perform a non-constant acceleration for 10 seconds of motion. The magnitude of the acceleration is given as a(t) = 1 m/s4t2 Starting from rest, how far does the car travel over this 10 second interval? Homework Equations This is what is...